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ClassJiCV \k 

Book &d 



Copyright}! . 



COPYRIGHT DEPOSIT. 



\ 



INTEREST 



A COMBINED TEN PER 
CENT AND THOUS- 
AND DOLLAR IN- 
TEREST TABLE 




BY BDW. H. FRANK 



ELMIRA, 1ST. Y. 



PUBLISHED BY AUTHOR 



JO 



LIBRARY of GONGfiESS 
Iwu Copies Received 

MAY 9 1M5 

Gopingni tntry 

OtASS cv KX& Noi 

COPY 6. 






Copyright 1905 by 
EDWARD HENRY FRANK. 



PREFACE. 



A properly arranged ten per cent table stands a fair show of being 
found the best ready reckoner for interest. 

To present such a table in the form best adapted to the varying 
ways in which it can be used is the object of this book. 

Among its advantages will be found convenient arrangement, 
completeness, simplicity and brevity. It figures all rates, all amounts 
of principal and all periods of time within one year; at the same time 
presenting all references in any possible interest case, and for both its 
methods of computation, complete and together on a single line of 
the table. 

It will be observed that the determinations of the table are com- 
puted to the nine figures of the decimal scale and that they are pointed 
for hundreds of dollars. 

Determinations for thousands, tens, units, &c are obtained simply 
by moving the decimal point right or left as occasion may require. 

The table is carried to a sufficient number of decimal places to se- 
cure accuracy in determining interest on all amounts up to $20000. 

A large number of the determinations figure out to entire accuracy 
ending in or 5 in the second or third decimal place. 

All the others assume the form of continued fractions consisting 
of the repetition of a single figure like 111 &c, 222 &c, 333 &c. 

The table is, in all instances, carried out far enough to show 
what this repeated figure is; so that its determinations can readily be 
extended indefinitely, should occasion require or the preference of the 
operator suggest. In making such extensions it is to be remembered 
that the table stands computed to the nearest unit in the right hand 
place; so that, if the figure on the right is greater than 5, it must be re- 
duced by unity in order to carry out the extension. That is if we have 
from the table 9 . 306 and wish to extend it becomes 9 . 305556 



THE TEN PER CENT METHOD. 



This method consists in obtaining the interest for the given prin- 
cipal and time at 10% from the table and multiplying this by one tenth 
of the required rate. 

For example, let it be required to find the interest on $2750 for 5 
months and 13 days at 3%. The operation is as follows:- 



90 


.56 


31 


.69 


2 


.26 


124 


.51 




.3 



It is sufficient for accuracy if, after adding, we have our 
result correct to the nearest unit in cents place ; provided we 
observe one simple precaution. Should the figure 5 appear 
in mills' place as a result of the multiplication, it must be re- 
jected; if, after adding, our result was too large by the frac- 
tional inaccuracy; otherwise, it is to be allowed. ~~37~35 

The easiest way to secure accuracy in the addition is 
simply to hold in mind the balance between fractions allow- 
ed for and rejected in setting out determinations from the table. 

THE THOUSAND DOLLAR METHOD. 

Thus far we have been considering the table as a straight ten pet 
cent table. It may also be regarded as showing the interest on $1000 at 
1, 2, 3,4, 5, 6, 7, 8 and 9 per cents respectively for the several columns. 

If then in any case it be found that the determination corresponding 
to the given rate is very simple, so that multiplication by it would be ex- 
tremely easy, all we have to do is to point three places to the left and 
multiply. 

At this point we will present some fraction- 
al equivalents that will be found useful. Of 
course it will be understood that the decimals 
in the scale of ninths and 1-6 and 1-12 are con- 
tinued fractions like those contained in the 
table. If then on the other hand it be found 
that the determination corresponding to the 
given rate is of complicated form, we can pro- 
ceed to pull its continued fraction. This will 
usually make it look sick. A few illustrations 
ms. 13 das., 5 ms. 14 das. and 5 ms. 15 das. will show the manner and 
results of the operation. 

7 1-6 



.111=1-9 


.125 =1-8 


.222=2-9 


.25 =1-4 


.333=1-3 


.375 =3-8 


.444=4-9 


.5 =1-2 


.556=5-9 


.625 =5-8 


.667=2-3 


.75 =3-4 


.778=7-9 


.875 =7-8 


.889=8-9 


.0833=1-12 




. 1667=1-6 


>ns taken from lines 5 



4.5278 
.7778 


9.056 
5.556 


18.111 
11.111 


22.639 
8.889 or 


22.639 
22.222 


27.167 


3.75 


3.5 


7. 


13.75 


.417 
.017 
.4 




31.694 
4.444 


36.222 
22.222 


4.5556 
4.4444 


13.667 
1.667 


18.222 
2.222 


22.778 
22.222 


27.25 


14. 


.1111 


12. 


16. 


.556 


31.889 

8.889 


36.444 
4.444 


4.5833 
3.3333 


22.917 
16.667 


33.333 
32.083 




23. 


32. 


1.25 


6.25 


—1.25 





In multiplying we shift the decimal point to suit the multiplier and 
allow the remainder of the three places that we must point to the left 
in the principal. This rule applies to each separate multiplication. 

Again let it be required to find the interest on $2750 for 5 months 
and 13 days at 3%. 

The operation by the second method is as follows :- 
13.583 3 |27.50 

3.333 9.167 



10.25 27.5 

.68 7 
37.35 

A little experience presents the opportunity of becoming exceed- 
ingly skillful in the use of this method. Indeed, with the determinations 
of the table before the eye, a large number of interest problems can read- 
ily be solved mentally. 

Another plan of multiplication is used by some with good effect. 
This takes it for granted that all we care about is to get our final result 
accurate to the nearest unit in cents place not concerning ourselves 
about accuracy beyond this point. 

To this end it is necessary to carry the multiplication no farther 
than the fourth decimal place. 

The general scheme is as follows : -XX,XXXXX The numbers 

54 32 lut 
and letters indicate where multiplication by figures in the several dec- 
imal orders is to begin. We assume always the nearest unit in the place 
indicated and omit the fourth place in the result except figures to carry. 

The operation by this plan for the same problem as before is as 
follows: 13.5833 

2.75 



27 


.167 


9 


.508 




.679 



37.35 E. H. F. 



$100 

.0278 
.0556 
.0833 
.1111 
.1389 
.1667 
.1944 
.2222 
.25 
.2778 
.3056 
.3333 
.3611 
.3889 
.4167 
.4444 
.4722 
.50 
.5278 
.5556 
.5833 
.6111 
.6389 
.6667 
.6944 
.7222 
.75 
.7778 
.8056 
.8333 
.8611 
.8889 
.9167 
.9444 
.9722 
1.00 
1.0278 
1.0556 
1.0833 
1.1111 



Wo 
$200 

.056 

.111 

.167 

.222 

.278 

.333 

.389, 

.444! 

.53 

.556 

.611 

.667 

.722 

.778 

.833 

.889 

.944 

1.00 

1.056 

1.111 

1.167 

1.222 

1.278 



333 
389 
444 
50 
556 
611 
1.667 
1.772 
1.778 
1.833 
1.889 
1.944 
2\ 00 
2.056 
2.111 
2 167 
2.222 







=5 


&© 


$300 


$400 


1 


§ 


.083 


.111 




i 


.167 


.222 




2 


25 


.333 




3 


.333 


.444 




4 


.417 


.556 




5 


.50 


.667 




6 


.583 


.778 




7 


.667 


.889 




8 


.75 


1.00 




9 


.833 


1.111 




JO 


917 


1.222 




11 


1.00 


1.333 




12 


1.083 


1.444 




13 


1.167 


1.556 




14 


1.25 


1.667 




15 


1.333 


1.778 




16 


1.417 


1.889 




17 


1.50 


2.00 




18 


1.583 


2.111 




19 


1.667 


2.222 




20 


1.75 


2.333 




21 


1.833 


2.444 




22 


1.917 


2.556 




23 


2.00 


2.667 




24 


2.083 


2.778 




25 


2.167 


2.889 




26 


2.25 


3.00 




27 


2.333 


3.111 




28 


2.417 


3.222 




29 


2.50 


3.333 


i 




2.583 


3.444 




1 


2.667 


3.556 




2 


2.75 


3.667 




3 


2.833 


3.778 




4 


2.917 


3.889 




5 


3.00 


4.00 




6 


3.083 


4.111 




7 


3.167 


4.222 




8 


3.25 


4.333 




9 


3.333 


4.444 




10 



$500 

.139 
.278 
.417 
.556 
.694 
.833 
.972 
1.111 
1.25 
1.389 
1.528 
1.667 
1.806 
1.944 
2.083 
2.222 
2.361 
2.50 
2.639 
2.778 
2.917 
3.056 
3.194 
3.333 
3.472 
3.611 
3.75 
889 
028 
167 
306 
444 
583 
722 
861 
00 
5.139 
5.278 
5.417 
5.556 



$600 

.167 
.333 
.50 
.667 
.833 
00 
167 
333 
50 
667 
1.833 
2.00 
2.167 
2.333 
2.50 
2.667 
2.833 
3.00 
3.167 
3.333 
3.50 
3.667 
3.833 
4.00 
4 167 
4.333 
4.50 



667 
833 
00 
167 
333 
50 
667 
5.833 
6.00 
6.167 
6.333 
6.50 
6.667 



$700 



.194 

.389 

.583 

.778 

.972 

1.167 

1.361 

1.556 

1.75 

1.944 

2.139 

333 

528 

722 

917 

111 

306 

50 

694 

889 



4.083 



278 
472 
667| 
861 
056 
25 
444 
639 
833 
028 
6.222 
6.417 
6.611 
6.806 
7.00 
7.194 
7.389 
7.583 
7.778 



$800 

.222 
.444 
.667 
.889 
111 
333 
556 
778 
00 
222 
444 
667 
889 
3.111 
3.333 
3.556 
3.778 
00 
222 
444 
667 
889 
111 
333 
556 
778 
6.00 
6.222 
6.444 
6.667 
6.889 
7.111 
7.333 
7.556 
7.778 
8.00 
8.222 
8.444 
8.667 
8.889 



10% 
$100 $200 $300 $400 



$500 $600^700 $800 $900 



1.1389 

1.1667 

1 . 1944 

1.2222 

1.25 

1.2778 

1.3056 

1.3333 

1.3611 

1.3889 

1.4167 

1.4444 

1.4722 

1.50 

1.5278 

1.5556 

1.5833 

1.6111 

1.6389 

1.6667 

1.6944 

1.7222 

1.75 

1.7778 

1.8056 

1.8333 

1.8611 

1.8889 

1.9167 



.9444 
.9722 
.00 
.0278 
.0556 
.0833 
.1111 
2 . 1389 
2 . 1667 
2 . 1944 
2.2222 



2.278 
2.333 
2.389 
2.444 
50 
556 
611 
667 
722 
778 
833 
889 
944 
00 
3.056 
3.111 
3.167 
3.222 
3.278 
3.333 
3.389 
3.444 
3.50 
3.556 
3.611 
3.667 
3.722 
3.778 
3.833 
3.889 
3.944 
4.00 
4.056 
4.111 
4.167 
4.222 
4.278 
4.333 
4.389 
4.444 



3.417 
3.50 
3.583 
667 
75 
833 
917 
00 
083 
167 
25 
4.333 
4.417 
4.50 
4.583 
4.667 
4.75 
4.833 
4.917 
5.00 
5.083 
5.167 
5.25 
5.333 
5.417 
5.50 
5.583 
5.667 
5.75 
5.833 
5.917 
6.00 
6.083 
6.167 
6.25 
6.333 
6.417 
6.50 
6.583 
6.667 



4.556 
4.667 

4.778 
4.889 



00 
111 
222 
333 
444 
556 
5.667 
5.778 
5.889 
6.00 
6.111 
6.222 
6.333 
6.444 
6.556 
6.667 
6.778 
6.889 
7.00 
7.111 
7.222 
7.333 
7.444 
7.556 
7.667 
7.778 
7.889 
8.00 
8.111 
8.222 
8.333 
8.444 
8.556 
8.667 
8.778 
8.889 



n 

12 

13 

14 

15 

16 

17 

18 

19 

20 

21 

22 

23 

24 

25 

26 

27 

28 

29 

1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

13 

14 

15 

16 

17 

18 

19 

20 



5.694 

5.833 

5.972 

6.111 

6.25 

6.389 

6.528 

6.667 

6.806 

6.944 

7.083 

7.222 

7.361 

7*50 

7.639 

7.778 

7.917 

8.056 

8.194 

8.333 

8.472 

8.611 

8.75 

8.889 

9.028 

9.167 



6 
7 
7 
7 
7 
7 
7 
8 
8 
8 
8 
8 
8 
9 
9 
9 
9 
9 
9 

10 

10 

10. 

10. 

10. 

10. 

11. 

11. 



9,. 306 

9.44411. 

9.58311. 

9.72211. 

9.86111. 
10.00 12. 
10.13912. 
10.27812. 
10.41712. 
10.55612. 



10.694 
10.833 
10.972 
11.111 



12. 
13. 
13. 
13. 



.833 
.00 
.167 
.333 
.50 
.667 
.833 
.00 
.167 
.333 
.50 
.667 
.833 
.00 
167 
333 
50 
667 
833 
00 
167 
333 
50 
667 
833 
00 
167 
333 
50 
667 
833 
00 
167 
333 
50 
667 
833 
00 
167 
333 



7 
8 
8 
8 
8 
8 
9 
9 
9 
9 
9 

10 
10 
10 
10 
10 

11. 
11. 
11. 
11. 
11. 

12. 
12. 
12. 
12. 
12. 
13. 
13. 
13. 
13. 
13. 
14. 
14. 
14. 
14. 
14. 
14. 
15. 
15. 
15 



.972 
.167 
.361 
.556 
.75 
.944 
.139 
.333 
.528 
.722 
.917 
.111 
.306 
.50 
.694 
.889 
.083 
.278 
.472 
.667 
.861 
.056 
.25 
.444 
639 
8331 
.028 
222 



417 

611 

806 

00 

194 

389 

583 

778 

972 

167 

361 

556 



9.111 
9.333 
9.556 
9.778 
10.00 
10.222 
10.444 
10.667 
10.889 
11.111 
11.333 
11.556 
11.778 
12.00 
12.222 
12.444 
12.667 
12.889 
13.111 
13.333 
13.556 
13.778 
14.00 
14.222 
14.444 
667 
14.889 
15.111 
15.333 
15.556 
15.778 
16.00 
16.222 
16.444 
16.667 
16.889 
17.111 
17.333 
17.556 
17.778 



10.25 

10.50 

10.75 

11.00 

11.25 

11.50 

11.75 

12.00 

12.25 

12.50 

12.75 

13.00 

13.25 

13.50 

13.75 

14.00 

14.25 

14.50 

14.75 

15.0 f 

15.25 

15.50 

15.75 

16.00 

16.25 

16.50 

16.75 

17.00 

17.25 

17.50 

17.75 

18.00 

18.25 

18.50 

18.75 

19.00 

19.25 

19.50 

19.75 

20.00 





10% 






V^»J 


CO 












$100 


$200 


$300 


$400 


<=> 


ea 


$500 


$600 


$700 


$800 


$900 


2.25 


4.50 


6.75 


9.00 


2 


21 


11.25 


13.50 


15.75 


18.00 


20.25 


2.2778 


4.556 


6.833 


9.111 




22 


11.389 


13.667 


15.944 


18.222 


20.50 


2.3056 


4.611 


6 917 


9.222 




23 


11.528 


13.833 


16.139 


18.444 


20.75 


2.3333 


4.667 


7.00 


9.333 




24 


11.667 


14.00 


16.333 


18.667 


21.00 


2.3611 


4.722 


7.083 


9.444 




25 


11.806 


14.167 


16.528 


18.889 


21.25 


2.3889 4.778 


7.167 


9.556 




26 


11.944 


14.333 


16.722 


19.111 


21.50 


2.4167 


4.833 


7.25 


9.667 




27 


12.083 


14.50 


16.917 


19.333 


21.75 


2.4444 


4.889 


7.333 


9.778 




28 


12.222 


14.667 


17.111 


19.556 


22.00 


2.4722 


4.944 


7.417 


9.889 




29 


12.361 


14.833 


17.306 


19.778 


22.25 


2.50 


5.00 


7.50 


10.00 


3 




12.50 


15.00 


17.50 


20.00 


22.50 


2.5278 


5.056 


7.583 


10.111 




1 


12.639 


15.167 


17.694 


20.222 


22.75 


2.5556 


5.111 


7.667 


10.222 




2 


12.778 


15.333 


17.889 


20.444 


23.00 


2.5833 


5.167 


7.75 


10.333 




3 


12.917 


15.50 


18.083 


20.667 


23.25 


2.6111 


5.222 


7.833 


10.444 




4 


13.056 


15.667:18.278 


20.889 


23.50 


2.6389 


5.278 


7.917 


10.556 




5 


13.194 


15.83318.472 


21.111 


23.75 


2.6667 


5.333 


8.00 


10.667 




6 


13.333 


16.00 


18.667 


21.333 


24.00 


2.6944 


5.389 


8.083 


10.778 




7 


13.472 


16.167 


18.861 


21.556 


24.25 


2.7222 


5.444 


8.167 


10.889 




S 


13.611 


16.333 


19.056 


21.778 


24.50 


2.75 


5.50 


8.25 


11.00 




9 


13.75 


16.50 


19.25 


22.00 


24.75 


2.7778 


5.556 


8.333 


11.111 




10 


13.889 


16.667 


19.444 


22.222 


25.00 


2.8056 


5.611 


8.417 


11.222 




11 


14.028 


16.833 


19.639 


22.444 


25.25 


2.8333 


5.667 


8.50 


11.333 




12 


14.167 


17.00 


19.833 


22.667 


25.50 


2.8611 


5.722 


8.583 


11.444 




13 


14.306 


17.167 


20.028 


22.889 


25.75 


2.8889 


5.778 


8.667 


11.556 




14 


14.444 


17.333 


20.222 


23.111 


26.00 


2.9167 


5.833 


8.75 


11.667 




15 


14.583 


17.50 


20.417 


23.333 


26.25 


2.9444 


5.889 


8.833 


11.778 




16 


14.722 


17.667 


20.611 


23.556 


26.50 


2.9722 


5 944 


8.917 


11.889 




17 


14.861 


17.833 


20.806 


23.778 


26.75 


3.00 


6.00 


9.00 


12.00 




18 


15.00 


18.00 


21.00 


24. 00 


27.00 


3.0278 


6.056 


9.083 


12.111 




19 


15.139 


18.167 


21.194 


24.222 


27.25 


3.0556 


6.111 


9.167 


12.222 




20 


15.278 


18.333 


21.389 


24.444 


27.50 


3.0833 


6.167 


9.25 


12.333 




21 


15.417 


18.50 


21.583 


24.667 


27.75 


3.1111 


6.222 


9.333 


12.444 




22 


15.556 


18.667 


21.778 


24.889 


28.00 


3.1389 


6.278 


9.417 


12.556 




23 


15.694 


18.833 21.972 


25.111 


28.25 


3.1667 


6.333 


9.50 


12.667 




24 


15.833 


19.00 22.167 


25.333 


28.50 


3.1944 


6 389 


9.583 


12.778 




25 


15.972 


19.167i22.361 


25.556 


28.75 


3.2222 


6.444 


9.667 


12.889 




26 


16.111 


19.333 22.556 


25.778 


29.00 


3.25 


6.50 


9.75 


13.00 




27 


16.25 


19.50 22.75 


26.00 


29.25 


3.2778 


6.556 


9.833 


13.111 




28 


16.389 


19.667,22.944 


26.222 


29.50 


3.3056 


6.611 


9.917 


13.222 




29 


16.528 


19.83323.139 


26.444 


29.75 


3,3333 


1 6.667 


10.00 


13.333 


4 




116.667 


20.00 


|23 . 333 


26.667 


30.00 



10% 
$100 $200 $3001 $400 



$500 $600 I $700 $800 $900 



3.3611 



3889 
4167 
4444 
4722 
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5278. 
3.5556 
3.5833| 
3.611li 
3.6389 
3.6667 
3.6944 
3.7222 
3.75 
3.7778 
3.8056 
3.8333 
3.8611 
3.8889 
3.9167 
3.9444 
9722 
00 
0278 
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0833 
1111 
4.1389 
4.1667 
4.1944 
4.2222 
4.25 
4.2778 
4.3056 
4.3333 
4.3611 
4.3889 
4.4167 
4.4444 



6.722 

6.778 
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6.944 
00 
056 
111 
167 
222 
278 
333 
389 
444 
7.50 
7.556 
7 

7.667 
7.722 
7.778 
7.833 
7.889 
7.944 



10 
10 
10 
10 
10 
10 
10 
10 
10 
10 
10 

11 
11 
11 
11 
11 

61111. 
11. 
11. 
11. 
11. 
11, 
11, 
12. 
12. 
12. 
12. 
12. 
12. 
12. 
12. 
12. 
12. 



08313.444 
167,13.556 
25 113.667 
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8 

8 

8 

8 

8 

8 

8 

8 

8 

8 

8.556 

8.611 

8 667 

8.722 



00 

056 

111 

167 
222 

278 
333 
389 
444 
50 



12 
12 
13 
13 



8.77813 
8.833J13 
8.889,13 



75 

833 

917 

00 

083 

167 

25 

333 

417 

50 

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75 

833 

917 

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167 

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333 

417 

50 

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00 

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333 



14.333 
14.444 
14.556 
14.667 
14.778 
14.889 
15.00 
15.111 
15.222 
15.333 
15.444 
15.556 
15.667 
15.778 
15.889 
16.00 
16.111 
16.222 
333 
444 
556 
667 
778 
889 
00 
111 
17.222 
17.333 
17.444 
17.556 
17.667 
17.778 



16 
16 
16 
16 
16 
16 
17 
17 



1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

U 

12 

13 

14 

15 

16 

17 

18 

19 

20 

21 

22 

23 

24 

25 

26 

27 

28 

29 

1 
2 
3 
4 
5 
6 
7 
8 
9 
10 



16.806 

16.944 

17.083 

17.222 

17.361 

17.50 

17.639 

17.778 

17.917 

18.056 

18.194 

18.333 

18.472 

18.611 

18.75 

18.889 

19.028 

19.167 

19.306 

19.444 

19.583 

19.722 

19.861 

20.00 

20.139 

20.278 

20.417 

20.556 

20.694 

20.833 

20.972 

21.111 

21.25 

21.389 

21.528 

21.667 

21.806 

21.944 

22.083 

22.222 



20 
20 
20 
20 
20 
21 
21 
21 
21 
21 
21 
22 
22 
22 
22 
22 
22 
23 
23 
23 
23 
23 
23 
24 
24 
24 
24 
24 
24 
25 
25 
25 
25 
25 
25 
26 
26 
26 
26 
26 



167,23 
33323 

50 |23 
667j24 
833 24 



00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 



24 

24 

24 

25 

25 

25 

25 

25 

26 

26 

26 

26 

26 

27 

27 

27 

27 

27 

28 

28 

28 

28 

28, 

28, 

29 

29 

29 

29 

29 

30 

30 

30 

30 

30 

31 



528 

722 

917 

111 

306 

50 

694 

889 

083 

278 

472 

667 

861 

056 

25 

444 

639 

833 

028 

222 

417 

611 

806 

00 

194 

389 

583 

778 

972 

167 

361 

556 

75 

944 

139 

333 

528 

722 

917 

111 



26.889 

27.111 

27.333 

27.556 

27.778 

28.00 

28.222 

28.444 

28.667 

28.889 

29.111 

29.333 

29.556 

29.778 

30. 00 

30.222 

30.444 

30.667 

30.889 

31.111 

31.333 

31.556 

31.778 

32. 00 

32.222 

32.444 

32.667 

32.889 

33.111 

33.333 

33.556 

33.778 

34. 00 

34.222 

34.444 

34.667 

34.889 

35.111 

35.333 

35.556 



10% 

$100 $200 $300 $400 



$500 $600 $700 $800 $900 



4.4722 

4.50 

4.5278 

4.5556 

4.5833 

4.6111 

4.6389 

4.6667 

4.6944 

4.7222 

4.75 

4.7778 

4.8056 

4.8333 

4.8611 

4.8889 

4.9167 

4.9444 

4.9722 

5.00 

5.0278 

5.0556 

5.0833 

5.1111 

5.1389 

5.1667 

5 . 1944 

5.2222 

5.25 

5.2778 

5.3056 

5.3333 

5.3611 

5.3889 

5.416710 

5.444410 

5.472210 

5.50 

5 527811 

5.555611 



S. 

9. 

9 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 

9. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 
10. 



944 

00 

056 

111 

167 

222 

278 

333 

389 

444 

50 

556 

611 

667 

722 

778 

833 

889 

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00 

056 

111 

167 

222 

278 

333 

389 

444 

50 

556 

611 

667 

722 

778 

833 

889 

944 

00 

056 

111 



13. 

13. 

13. 

13. 

13. 

13. 

13. 

14. 

14. 

14. 

14. 

14. 

14. 

14. 

14. 

14. 

14. 

14. 

14. 

15. 

15. 

15. 

15. 

15, 

15. 

15 

15 

15. 

15, 

15, 

15 

16 

16 

16 

16 

16 

16 

16 

16 

16 



417 

50 

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75 

833 

917 

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167 

25 

333 

417 

50 

583 

667 



17 

18. 

18. 

18. 

18. 

18. 

18. 

18. 

18. 

18. 

19. 

19. 

19. 

19. 

19. 

19. 

19. 

19. 

19. 

20. 

20. 

20. 

20. 

20. 

20. 

20. 

20. 

20. 

21. 

21. 

21. 

21. 

21. 

21 

21 

21 

21 

22 

22 

22 



889 
00 
111 
222 
333 
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556 
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778 
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.00 
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.2221 



11 

12 

13 

14 

15 

16 

17 

18 

19 

20 

21 

22 

23 

24 

25 

26 

27 

28 

29 

1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

13 

14 

15 

16 

17 

18 

19 

20 



22 
22 
22 
22 
22 
23 
23 
23 
23 
23 
23 
23 
24 
24 
24 
24 
24 
24 
24 
25 
25 
25 
25 
25 
25 
25 
25 
26 
26 
26 
26 
26 
26 
26 
27 
27 
27 
27 
27 
27 



361 

50 

639 

778 

917 

056 

194 

333 

472 

611 

75 

889 

028 

167 

306 

444 

583 

722 

861 

00 

139 

278 

417 

556 

694 

833 

972 

111 

25 

389 

528 

667 

806 

944 

083 

222 

361 

50 

639 

778 



26 
27 
27 
27 
27 
27 
27 
28 
28 
28 
28 
28 
28 
29 
29 
29 
29 
29 
29 
30 
30 
30 
30 
30 
30 
31 
31 
31 
31 
31 
31 
32 
32 
32 
32 
32 
32 
33 
33 
33 



83331 
00 31 
16731 
33331 
50 |32 
667,32 
83332 
00 132 
167J32 
33333 
50 33 
667,33 
833^3 
00 33 
16734 
333 34 



306 35.778 
50 36.00 
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889 
083 
278 
472 
667 



36.444 
36.667 
36.889 
37.111 
37.333 



.86137.556 



056 
25 



37.778 



38.00 
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.028 38.889 



50 

667 

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00 

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50 J36 

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34 
34 
34 
35 
35 
35 
35 
35 
35 
36 



.833 

.00 

.167 

.333 

.50 

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.00 

.167 

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39.111 
39.333 
39.556 
39.778 
40.00 
40.222 
40.444 
40.667 
40.889 
41.111 
41.333 
41.556 
41.778 
42.00 
42.222 
42.444 
42.667 
42.889 
43.111 
43.333 
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44.00 
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.222 

.417 

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.806 

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.75 

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.306 

.50 



10% 



$100|$200 



5.583311 
5.611111 
5.6389,11 
5.6667jll 
5.694411 
5.722211 



$300 I $400 



.75 

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.9167 
5.9444J11 
5.972211 
6.00 12 
6.0278^12 
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6.083312 



11 

11 
11 
11 
11 
11 
11 



6.1111 
6.1389 
6.1667 
6.1944 
6.2222 
6.25 



12 
12 
12 
12 
12 
12 



6.277812 
6.305612 
6.333312 



6.3611 

6.3889 

6.4167 

6.4444 

6.4722 

6.50 

6.5278 

6.5556 

6.5833 

6.6111 

6 6389 

6.6667 



12 

12 

12 

12. 

12. 

13. 

13. 

13. 

13. 

13. 

13. 

13. 



.167 

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.278 

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50 

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16 
16 
16 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 
18 
18 
18 
18 
18 
18 
18 
18 
18 
18 
18 
18 
19 
19 



75 122.333 

833^22.444 

917 22.556 

00 

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.25 
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22.667 

22.778 
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23.00 

23.111 

23 222 

23.333 

23.444 

23.556 

23.667 

23.778 

23.889 

24.00 

24.111 

24.222 

24.333 

24.444 

24.556 

24.667 

24.778 

24.889 

25.00 

25.111 

25.222 

25.333 

25.444 

25.556 

25.667 

25.778 

25.889 

26.00 

26.111 

26.222 

26.333 

26.444 

26.556 

26,667 



8 



21 
22 
23 
24 
25 
26 
27 
28 
29 

1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

13 

14 

15 

16 

17 

18 

19 

20 

21 

22 

23 

24 

25 

26 

27 

28 

29 



$500 



27.917 33 
28.056 33 



$600 



28 
28 
28 
28 
28 
28 
29 
29 



194 

333 

472 

611 

75 

889 

028 

167 
29.306 
29.444 
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29.861 
30.00 
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30.278J36 
30.417|36 
30.556 36 
30.694'36 
30. 833^37 
30.97237 
31.111,37 
31.25 137 



33 
34 
34 
34 
34 
34 
34 
35 
35 
35 
35 
35 
35 
36 
36 



.50 

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.833 

.00 

.167 

.333 

.50 

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.00 
167 
333 

,50 



$7001 



39 
39 
39 
39 
39 
40 
40 
40 
40 
40 
41 
41 
41 



667141 
83341 



31.389 

31.528 

31.667 

31.806 

31.944 

32.083 

32.222 

32.361 

32.50 

32.639 

32.778 

32.917 

33.056 

33.194 

33.333 



37 
37. 

38. 
38. 
38. 
38. 
38. 
38. 
39. 
39. 
39. 
39. 
39. 
39. 
40. 



00 

167 

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50 

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833 

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167 

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833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 



42 
42 
42 
42 
42 
42 
43 
43 
43 
43 
43 
44 
44 
44 
44 
44 
45 
45 
45 
45 
45 
46 
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833 46 . 

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$800 

44.667 
44.889 
45.111 
45.333 
45.556 
45.778 
46.00 
46.222 
46.444 
46.667 
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111 
47.333 
47.556 
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48.00 



46 

47 



48.222 

48.444 

48.667 

48.889 

49.111 

49.333 

49.556 

49.778 

50.00 

50.222J 

50.444 

50.667 

50.889 

51.111 

51.333 

51.556 

51.778 

52.00 

52.222 

52.444 

52.667 

52.8S9 

53.111 

53.333 



$900 



54.75 

55.00 

55.25 

55.50 

55.75 

56.00 

56.25 

56.50 

56.75 

57.00 

57.25 

57.50 

57.75 

58.00 

58.25 

58.50 

58.75 

59.00 

59.25 

59.50 

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60.00 



$1001 $200 



10% 
$300 



6.694413 
6.722213 
6.75 13 
6.777813 
6.8056113 



6.8333 
6 8611 
6.8889 
6.9167 
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6.9722 
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7.4722 



50 

5278 

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5833 

6111 

6389 

6667 

6944 

7222 

75 

7778 



13 
13 
13 
13 
13 
13 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
14 
15 
15 
15 
15 
15 
15 
15 
15 
15 
15 
15 



389 

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50 

556 

611 

667 

722 

778 

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167 

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278 

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667 

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778 

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167 

222 

278 

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389 

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556 



20 

20 

20 

20 

20 

20 

20 

20 

20 

20 

20 

21 

21 

21 

21 

21 

21 

21 

21 

21 

21 

21 

21 

22 

22 

22 

22 

22 

22, 

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22 

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23 

23 

23 

23 

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083 

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917 

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917 

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083 

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$400 



26 
26 
27 
27 
27 
27 
27 
27 
27 
27 
27 
28 
28 
28 
28 
28 
28 
28 
28 
28 
29 
29 
29 
29 
29 
29 
29 
29 
29 
30 
30 
30 
30 
30 
30 
30 
30 
30 
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333,31 



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8 



1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

13 

14 

15 

16 

17 

18 

19 

20 

21 

22 

23 

24 

25 

26 

27 

28 

29 

1 
2 
3 
4 
5 
6 
7 
8 
9 
10 



$500 



33 

33 

33 

33 

34 

34 

34 

34 

34 

34 

34 

35 

35 

35 

35 

35 

35 

35 

35 

36 

36 

36 

36 

36 

36 

36 

37 

37 

37 

37 

37 

37. 

37. 

38. 

38. 

38. 

38. 

38. 

38. 

38. 



$600 



472 40 
61140 

75 40 
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16741 

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$700 



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42 

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45. 

45. 

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48 
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$800 

53.556 

53.778 

54.00 

54.222 

54.444 

54.667 

54.889 

55.111 

55.333 

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55.778 

56.00 

56.222 

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57.111 

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57.556 

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58.444 

58.667 

58.889 

59.111 

59.333 

59.556 

59.778J 

60.00 



52 
53 



66753 . 
83353. 



46 
46 
46 
46 
46 



00 



53 



16753 
33354 



50 



66754. 



54 



694 60.222 

889 60.444 

08360.667 

278;60.889 

47261 

66761 

86161 

056;61 

25 162.00 

444,62.222 



111 
333 
556 

778 



$900 

60.25 

60.50 

60.75 

61.00 

61.25 

61.50 

61.75 

62.00 

62.25 

62.50 

62.75 

63.00 

63.25 

63.50 

63.75 

64.00 

64.25 

64.50 

64.75 

65.00 

65.25 

65.50 

65.75 

66.00 

66.25 

66.50 

66.75 

67.00 

67.25 

67.50 

67.75 

68.00 

68.25 

68.50 

68.75 

69.00 

69.25 

69.50 

69.75 

70.00 



J0% 
$100 I $200 



7.805615 
7.833315 
7.8611J15 
7.888915 
7.916715 
7.944415 
7.972215 
8.00 116 
8.027816 
8 0556 16 
8.083316 
8.111116 
8.138916 
8.1667 16 
8. 194416 
8.222216 
8.25 |l6 
8.277816 
8.305616 
8.333316 



611 
667 

722 
778 
833 
889 
944 
00 



$300 



23 
23 
23 
23 
23 
23 
23 
24 



417 

50 

583 

667 

75 

833 



$400 



31 
31 
31 
31 
31 
31 



056 24 



111 

167 



24 
24 



222 24 

278;24 



917:31 

00 32 
08332 
167^32 
25 J32 
333 32 



16 
16 



8-3611 
8.3889 
8.416716 
8.444416 



8.4722 
8.50 
5278 
5556 
5833 
6111 
6389 
6667 
8.6944 
8.7222 
8.75 
8.7778 
8.8056 
8.8333 
8.8611 
8.8889 



16 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 
17 



333 

389 

444 

50 

556 

611 

667 

722 

778 

833 

889 

944 

00 

056 

111 

167 

222 

278 

333 

389 

444 

50 

556 

611 

667 

722 

778 



24 
24 
24 
24 
24 
24 
25 
25 
25 
25 
25 
25 
25 
25 
25 
25 
25 
25 
26 
26 
26 
26 
26 
26 
26 
26 
26 



417 

50 

583 

667 

75 

833 

917 

00 

083 

167 

25 

333 

417 

50 

583 

667 

75 

833 

917 

00 

083 

167 

25 

333 

417 

50 



32 
32 
32 
32 
33 
33 
33 
33 
33 
33 
33 
33 
33 
34 
34 
34 
34 
34 
34 
34 
34 
34 
35 
35 
35 
35 



583 35 
66735 



.222 

.333 

.444 

.556 

.667 

.778 

.889 

.00 

.111 

.222 

.333 

.444 

.556 

.667 

.778 

.889 

.00 

.111 

.222 

.333 

.444 

.556 

.667 

.778 

.889 

.00 

.111 

.222 

.333 

.444 

.556 

.667 

.778 

.889 

.00 

.111 

.222 

.333 

.444 

.556 



10 



11 
12 
13 
14 

16 
17 
18 
19 
20 
21 
22 
23 
24 
25 
26 
27 
28 
29 

1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 

13 

14 

15 

16 

17 

18 

19 

20 



$500;$600 



39 
39 
39 
39 
39 
39 
39 
40 
40 
40 
40 
40 
40 
40 
40 
41 
41 
41 
41 
41 
41 
41 
42 
42 
42 
42 
42 
42 
42 
43 
43 
43 
43 
43 
43 
43 
44 
44 
44 
44 



02846 
16747 



306 



44447 



583 

722 

861 

00 

139 

278 



41748 



556 

694 

833 

972 

111 

25 

389 

528 



66750 
80650 



47 



47 

47 
47 

48 
48 
48 



48 
48 
49 
49 
49 
49 
49 
49 



50 
50 
50 
50 
51 
51 
51 
51 
51 



944 

083 

222 

361 

50 

639 

778 

917 

056 

19451 

33352 

47252 

61152 

75 52 

88952 

02852 

167J53 

30653 

444153 



833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 



$700 I $800! $900 



54 
54 
55 
55 
55 
55 
55 
56 
56 
56 
56 
56 
56 
57 
57 
57 
57 
57 
58 
58 
58 
58 
58 
59 
59 
59 
59 
59 
60 
60 
60 
60 
60 
61 
61 
61 
61 
61 
62 
62 



.639 

.833 

.028 

.222 

.417 

.611 

.806 

.00 

.194 

.389 

.583 

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.917 

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.306 

.50 

.694 

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.083 

.278 

.472 

.667 

.861 

.056 

.25 

.444 

.639 

.833 

.028 

.222 



62.444! 

62.667J 

62.889 

63.111 

63.333 

63.556 

63.778 

64.00 

64.222 

64.444 

64.667 

64.889 

65.111 

65.333 

65.556 

65.778 

66.00 

66.222 

66.444 

66.667 

66.889 

67.111 

67.333 

67.556 

67.778 

68.00 

68.222 

68.444 

68.667 

68.889 

69.111 

69.333 

69.556 

69.778 

70.00 

70.222 

70.444 

70.667 

70 889 

71.111 



10% 
$100 $200 $300!$400 



17 
17 
17 
18 
18 



8.9167 

8.9444 

8.9722 

9.00 

9.0273 

9.0556'lS 

9.0833J18 

9.111118 

9.138918 

9.166718 



833 26 
889126 
944'26 



00 

056 

111 

167 

222 



9.1944 

9.2222 

9.25 

9.2778 

9.3056 

9.3333 

9.3611 

9.3S39 

9.4167 

9.4444 

9.4722 

9.50 

9.5278 

9.5556 



5833 
6111 

6389 
6667 
6944 
7222 

9.75 

9.7778 



18 

18 

18 

18 

18 

18 

18 

18 

18 

18 

18, 

19 

19 

19 

19, 

19 

19 

19 

19 

19 

19 

19 



27 
27 
27 
27 
27 
27827 
33327 
389^27 
444 27 



50 



27 



556 27 
611J27 



667 
722 

778 
833 
889 
944 
00 



28. 
28. 
28. 
28. 
28. 
28. 
28. 



056:28. 
111|28 

167 28 



9. 8056: 19 
9.8333J19 
9.8611:19 
9.888919 
9.9167:19 
9.944419 
9.9722,19 
10.00 i20 



222 

278 

333 

389 

444 

50 

556 

611 

667 

722 

778 

833 

889 

944 

00 



28. 
28. 
29. 
29. 
29. 
29. 
29. 
29. 
29. 
29. 
29. 
29. 
29. 
29. 
30. 



75 35 
.833 35 
91735 
00 36 
,083 36 
167 36 
25 36 
333 36 
417 36, 
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667 36. 
75 37. 
833 37. 
91737. 
00 37. 
033 37. 
167 37. 
25 37. 
333 37. 
417 37. 
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667 38 . 
75 38. 
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16738. 
25 |39. 
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50 |39. 
583 39 . 



667 

75 

833 

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39. 
39. 
39. 
39. 
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.667 

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.00 

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.778 

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00 

111 

222 

333 

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556 

667 

778 

889 

00 

111 

222 

333 

444 

556 

667 

778 

889 

00 

111 

222 

333 

444 

556 

667 

778 

889 

00 



10 



11 



12 



21 

22 
23 
24 
25 
26 
27 
28 
29 

1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 



$500! $600 $700 | $800 $900 



44 
44 
44 
45 

45 
45 
45 
45 
45 
45 
45 
46 
46 
46 
46 
46 
46 
46 
47 
47 
47. 



.58353 
.72253 
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.00 |54 
. 13954 
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.50 162 

667:62 

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25 

389 



.00 
167 
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63 
63 
63 
63 
63 
63 
64 
64 
64 



.417i71.333 
• 611J71.556 
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.00 J72.00 
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.389 72.444 
.583:72.667 
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.972,73.111 



55 
55 



50 |64 



12 47 

13 47 



14 

15 
16 
17 
18 
19 
20 
21 
22 
23 
24 
25 
26 
27 
28 
29 



47. 
47. 
48. 
48. 
48. 
48. 
48. 
48. 
48. 
49. 
49. 
49. 
49. 
49. 
49. 
49. 
50. 



52855 
667]56 
80656 
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50 57 
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917 



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333 
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75 



88958 



028 
167 



58. 
58. 
58. 
58. 



667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 

833 

00 

167 

333 

50 

667 



58 
59 



64 

65. 

65. 

65. 

65. 

65. 

66. 

66. 

66. 

66. 

66. 

67. 

67. 

67. 

67. 

67. 

68. 

68. 

68. 



833 68. 

00 68 

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30659 

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583,59 

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50 
667 
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69. 
69. 
69. 
70, 



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306 
50 
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889 
083 
278 
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667 
861 
056 
25 
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639 
833 
028 
222 
417 
611 
806 
00 



73.333 

73.556 

73.778 

74.00 

74.222 

74.444 

74.667 

74.889 

75.111 

75.333 

75.556 

75 . 778 

76.00 

76.222 

76.444 

76.667 

76.889 

77.111 

77.333 

77.556 

77.778 

78.00 

78 . 222 

78.444 

78.667 

78.889 

79.111 

79.333 

79.556 

79.778 

80.00 



9 1 



r6f7 



